The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. the cost, in dollars, of producing the video game systems can be modeled by 5x2 – x + 100, where x is the number of video game systems sold. if profit is the difference between the revenue and the cost, what expression represents the profit?

profit can be modeled by the polynomial expression

options:

x+20
x-180
3x+20
3x-180

if 1,000 video game systems are sold, the company’s profit is $

options:

820
1,020
2,820
3,020

P(x)=3x-180 ; P(1000)=2820

Step-by-step explanation:

We are given our Revenue function and Cost function . We have to find the Profit function.

Profit = Revenue - Cost

Revenue

Cost

Profit

P(x) = R(x)-C(x)

      =

      =

      =

P(x)=  

Hence this is our profit function.

Now we have to find the profit when the no. of video games represented by x in this , is 1000. In order to do that we replace x by 1000 in P(x)

P(1000) =  

P(1000) =  

P(1000) =  

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.